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Dimensional Analysis

Dimensional Analysis. USING DIMENSIONS TO CONVERT UNITS SOLVE PROBLEMS. Review: Multiplying Fractions. What is. 3. A x. = ?. A. ANS: A’s cancel giving 3 as the answer. Review: Multiplying Fractions. What is. 12 in. 2 ft x. = ?. 1 ft. ANS: ft cancels giving

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Dimensional Analysis

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  1. Dimensional Analysis USING DIMENSIONS TO • CONVERT UNITS • SOLVE PROBLEMS Neely's Chemistry

  2. Review: Multiplying Fractions • What is 3 A x = ? A • ANS: A’s cancel giving 3as the answer Neely's Chemistry

  3. Review: Multiplying Fractions • What is 12 in 2 ft x = ? 1 ft • ANS: ft cancels giving 2x12/1 = 24 in as the answer Neely's Chemistry

  4. Dimensional Analysis • Uses dimensions or units to solve problems • General Math Rule: Do the same thing with the units that you do with the numbers • Ex: 2 m x 3 m = ? • ANS: 6 m2 since 2 x 3=6 & m x m=m2 Neely's Chemistry

  5. Dimensional Analysis • Read the question carefully • Identify the GIVEN and the UNITS of the UNKNOWN Neely's Chemistry

  6. Dimensional Analysis • Read the question carefully • Identify the GIVEN and the UNITS of the UNKNOWN • Set up the TRACK (“RR Track”) • Cancel units you don’t want & insert units you want. GIVEN = UNITS Neely's Chemistry

  7. How many yards is 54 inches? Neely's Chemistry

  8. How many yards is 56 inches? • GIVEN = 54 in • UNITS for unknown = yd • Track: • Don’t want inches in final answer • What do you know that will get the desired units? • 1 ft = 12 in & 3 ft = 1yd 1 ft 1 yd 54 in = 1.5 yd 12 in 3 ft Neely's Chemistry

  9. Congratulations! Now you have solved a unit conversion problem by dimensional analysis! Neely's Chemistry

  10. Let’s Solve a Word Problem • The density of mercury is 13.5 g/mL. What volume of mercury in L would weigh 2700 g? Neely's Chemistry

  11. The density of mercury is 13.5 g/mL. What volume of mercury in L would weigh 2700 g? 1 L 2700 g 1 mL = 0.20 L 13.5 g 1000 mL • Congratulations! Now you have solved a word problem by dimensional analysis! Neely's Chemistry

  12. Convert 300 mm to cm. Hint – when doing metric conversions, use an equivalency that will take you to home base before heading out to the unit you want to find. 300 mm 1 m 102 cm = ? 103 mm 1 m Neely's Chemistry

  13. PRACTICE : • How many hours in a year? • The Baconater from Wendy’s has 8 strips of bacon. How many strips of bacon are there in 16 Baconaters? • It is 5954 m from KHS to Hwy 59. How many miles is that? (There are 1.61 km in a mile.) Neely's Chemistry

  14. Time to work on the Dimensional Analysis Practice WS Neely's Chemistry

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